450648240 has 320 divisors, whose sum is σ = 1748459520. Its totient is φ = 93634560.

The previous prime is 450648227. The next prime is 450648259. The reversal of 450648240 is 42846054.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 885106 + ... + 885614.

It is an arithmetic number, because the mean of its divisors is an integer number (5463936).

Almost surely, 2^450648240 is an apocalyptic number.

450648240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450648240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874229760).

450648240 is an abundant number, since it is smaller than the sum of its proper divisors (1297811280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450648240 is a wasteful number, since it uses less digits than its factorization.

450648240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 450648240 is about 21228.4771003480. The cubic root of 450648240 is about 766.6772206067.

The spelling of 450648240 in words is "four hundred fifty million, six hundred forty-eight thousand, two hundred forty".